Median of a group of 20 distinct numbers was
found to be 55. If largest 8 numbers are
increased by 10, then median of the new group,
is
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Median of a group of 20 distinct numbers was
found to be 55. If largest 8 numbers are
increased by 10, then median of the new group,
is
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Hey there!Median of n observations , if n is even = A. M of( n/2 , n/2+1)th terms.
Now, For the Given data.
Number of observations = 20 .
⇒ Now, 20 is odd.
So, Median = A. M of ( 10 , 11 th terms).
According to the question, Median = 55
We observe that The decrement in first 9 terms , or Increment in last 9 terms won't affect Median.
In other words, Decrement in the 9 smallest and increment in 9 largest terms won't affect the median.
According to the question, Largest 8 terms are increased by 10 . As we already discussed .This doesn't affect median .
So, Median of the new group = 55 .[ Remains Unchanged ]
The Median of New Group is 55 .